diff --git a/P1-Polynomials.tex b/P1-Polynomials.tex
index 349b1f8..96bd133 100644
--- a/P1-Polynomials.tex
+++ b/P1-Polynomials.tex
@@ -5169,7 +5169,6 @@ \section{Dependent dynamical systems}\label{sec.poly.dyn_sys.depend_sys}
         \varphi^\sharp_1({\color{orange}\text{orange}})\coloneqq2&,\varphi^\sharp_1({\color{dgreen}\text{green}})\coloneqq1;\\
         \varphi^\sharp_2({\color{orange}\text{orange}})\coloneqq3&,\varphi^\sharp_2({\color{dgreen}\text{green}})\coloneqq1,
     \end{align*}
-    while
     \item Some examples of words accepted by this automaton include the word $({\color{orange}\text{orange}},{\color{orange}\text{orange}}),$ the word $({\color{orange}\text{orange}},{\color{dgreen}\text{green}},{\color{orange}\text{orange}},{\color{orange}\text{orange}}),$ and the word $({\color{dgreen}\text{green}},{\color{orange}\text{orange}},{\color{dgreen}\text{green}},{\color{dgreen}\text{green}},{\color{dgreen}\text{green}},{\color{orange}\text{orange}},{\color{orange}\text{orange}})$.
     \item Some words are not accepted by the automaton because they lead you to a non-accept state (1 or 2); others are not accepted by the automaton because they lead you to an accept state (3) too early.
     Some examples of the former possibility include the words $({\color{dgreen}\text{green}},{\color{dgreen}\text{green}})$ and $({\color{orange}\text{orange}},{\color{dgreen}\text{green}},{\color{orange}\text{orange}},{\color{dgreen}\text{green}})$, while some examples of the latter possibility include the words $({\color{dgreen}\text{green}},{\color{orange}\text{orange}},{\color{orange}\text{orange}},{\color{dgreen}\text{green}})$ and $({\color{orange}\text{orange}},{\color{orange}\text{orange}},{\color{orange}\text{orange}},{\color{orange}\text{orange}},{\color{orange}\text{orange}},{\color{orange}\text{orange}},{\color{orange}\text{orange}})$.